Find the annual interest rate of a loan of $\$ 2,000$ for 3 years, which results in simple interest of $\$ 270$. Give your answer as a percent. Use the formula for simple interest: $I=$ Prt $7.5 \%$ $9.5 \%$ $2.5 \%$ $4.5 \%$

Step 1 ：We are given the following values: Principal amount (P) is $2000, the time (t) is 3 years, and the interest (I) is $270. We need to find the rate (r).

Step 2 ：We can use the formula for simple interest to solve for r: \(r = \frac{I}{Pt}\).

Step 3 ：Substitute the given values into the formula: \(r = \frac{270}{2000 \times 3}\).

Step 4 ：Solving the above expression gives us \(r = 0.045\).

Step 5 ：To convert this to a percentage, we multiply by 100, giving us \(r_{\text{percent}} = 4.5\).

Step 6 ：Final Answer: The annual interest rate of the loan is \(\boxed{4.5\%}\).